btw, when you say "work", I think you mean "Watts" or more precisely "power".
your method looks good to me.
work function only comes in when you want to know the energy of the photo-electron..but you are only concerned with the amount of them (ie. current) the most you could do is to check that the incoming photon energy can indeed overcome the work function: [tex]E_\text{photon} > \phi[/tex]. I don't think there is any problem with that